750820900620650390Monthly income (x):780 360Net saving: (v)980 250845191606862865853 47 8. Given below are the monthly incomes and their net saving of a sample of 10 supervisory staffbelonging to a firm. Calculate the correlation co-efficient.Employee No.:12 3456.78 9 10

Given data is Montly Income (x) 780 360 980 250 750 820 900 620 650 390 net saving(y) 84 51 91…

Answered: 8. Given below are the monthly incomes…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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11. Why doesn't correlation equal causation?
2. Suppose that it was definitively proved that there exists a positive correlation between children playing more violent video games and committing more violent acts in real life. That is, the more hours a child spends playing violent video games, the more likely he is to commit a violent act. Would this prove that violent video games cause children to become more violent? Explain.
The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct.graph below. OA. OB. В. Oc. OD. 3- 9- Q Q 2- 6- 6- 3- 3- 04 3. Eamings per share (S) Eamings per share ($) 0. Eamings per share (S) Eamings per share (S) (b) Calculate the sample correlation coefficient r. - X Data Table (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. Earnings per share, x Dividends per share, y O 1.36 1 There is V linear correlation. 4.3 0.59 3.56 8.27 1.74 2.47 Interpret the correlation. Choose the correct answer below. 1.19 0.67 1.6 2.82 O A. Increases in companies' eamings per share cause their dividends per share…
Draw the appropriate graph for each of the data sets given below. Explain the chosen graphs and give a short interpretation.
22. The arm span and foot length were measured (in Using the computer output, what is the correlation? centimeters) for each of the 19 students in a statistics O 0.630 class and displayed in the scatterplot. An analysis was completed and the computer output is shown. O 0.649 O 0.794 O 0.806 Arm Span vs. Foot Length 29 27 ... 19 155 160 165 170 175 180 185 190 195 Mark this and return Save and Exit Next Submit 65 DELL F3 4101 F4 F5 F6 FZ F8 F9 F10 F11 Priscr F12 Insert %23 %24 & 4. 5 7 08. E R D F G J K L Foot Length (cm) 立

Q3. An aluminum company summarized their gross sales in national, regional and international. From the data below, compute and graph the correlation coefficient r_from MS Excel. National 90.29 88.36 93.69 102.34 77.11 77.84 Gross Sales (in $millions) Regional 317.56 261.99 249.54 290.01 292.05 301.46 International 976.46 878.99 795.54 896.03 938.47 934.60
4.A corporation imposes different price increases on its product in eight different regions of the country and measures over the next year changes in sales volume. The results are shown in the accompanying table. Change in 6 5 4 7 7 10 8 Price (Percentage) Change in 5.2 7.3 7.4 4.6 5.3 5.0 -1.0 2.9 Sales (Percentage) a. Find correlation coefficient between change in price and change in sales and test it whether it is statistically significant at 0.05 significance level. b. Determine which variable is dependent variable and which variable is independent variable based on the original variables, estimate the regression model and interpret the model. c. Run hypothesis testing at 0.05 signi ance level whether the egression coefficient bị is statistically significant or not. d. Calculate R2 value and interpret the result e.Predict the dependent variable value when independent variable is 4.8 and interpret the result.
Find the coefficient of correlation between the sales and expenses of the following 10 firms: Firms Sales ('000) : 1 2 3 55 4 6. 65 5 7 9 10 60 50 8 : 50 50 60 65 65 60 Еxpenses ('000) :11 13 14 16 16 15 15 14 13 13
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support Correlation Results the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that Correlation coeff, r: 0.959614 a measured chest size can be used to predict the weight? Use a significance level of = 0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 Но: Р H1:P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= . B. There are two critical values at r= ± Is there sufficient evidence to support the claim that there is a linear correlation between…
Second part to this question is also what is test statistic t=

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8. Given below are the monthly incomes and their net saving of a sample of 10 supervisory staff belonging to a firm. Calculate the correlation co-efficient. Employee No.: 1 2 3 4 5 6 7 8. 9. 10